703728. Maximum value of expression
Maximum value of expression
Slug: maximum-value-of-expression2515 Difficulty: Easy Id: 703728 Topic Tags: Arrays, Mathematical, Data Structures, Algorithms Company Tags: None
Summary
The problem is about finding the maximum possible value that can be obtained by applying certain operations on an array of integers. The operations allowed are addition and multiplication between adjacent elements in the array. This problem involves basic mathematical concepts and array manipulation.
Detailed Explanation
To solve this problem, we need to find the maximum possible value that can be obtained by performing the given operations.
Here's a step-by-step breakdown of the solution:
- Initialize
maxValas the first element of the array. - Iterate through the array starting from the second element (index 1).
- For each element, check if multiplying it with the previous element gives a larger value than adding it to the previous element. If so, update
maxVal. - Return
maxValas the maximum possible value.
Here's an ASCII art diagram of the array:
[ A0 ] -> [ A1 ] -> ... -> [ An-1 ] -> [ An ]
^ ^ ... ^
| | ... |
+--------+
Time complexity: O(n), where n is the size of the array.
Space complexity: O(1), as we only need a constant amount of space to store maxVal.
Optimized Solutions
Java
int maximumValue(int[] arr) {
int maxVal = arr[0];
for (int i = 1; i < arr.length; i++) {
if (arr[i] * maxVal > arr[i] + maxVal) {
maxVal *= arr[i];
} else {
maxVal += arr[i];
}
}
return maxVal;
}